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452234664 = 23357167199
BaseRepresentation
bin11010111101001…
…000110110101000
31011111221220100000
4122331020312220
51411233002124
6112512543000
714130634260
oct3275106650
91144856300
10452234664
11212302662
12107551a60
13728ccb9b
14440c07a0
1529a806c9
hex1af48da8

452234664 has 192 divisors, whose sum is σ = 1467648000. Its totient is φ = 127790784.

The previous prime is 452234641. The next prime is 452234669. The reversal of 452234664 is 466432254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452234669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272437 + ... + 2272635.

It is an arithmetic number, because the mean of its divisors is an integer number (7644000).

Almost surely, 2452234664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452234664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824000).

452234664 is an abundant number, since it is smaller than the sum of its proper divisors (1015413336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

452234664 is a wasteful number, since it uses less digits than its factorization.

452234664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 452234664 is about 21265.8097424011. The cubic root of 452234664 is about 767.5758155608.

The spelling of 452234664 in words is "four hundred fifty-two million, two hundred thirty-four thousand, six hundred sixty-four".